112496688 has 100 divisors (see below), whose sum is σ = 331168288. Its totient is φ = 36858240.

The previous prime is 112496669. The next prime is 112496717. The reversal of 112496688 is 886694211.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 78345 + ... + 79767.

Almost surely, 2^112496688 is an apocalyptic number.

112496688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112496688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165584144).

112496688 is an abundant number, since it is smaller than the sum of its proper divisors (218671600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112496688 is a wasteful number, since it uses less digits than its factorization.

112496688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1489 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 112496688 is about 10606.4455874718. The cubic root of 112496688 is about 482.7399549217.

The spelling of 112496688 in words is "one hundred twelve million, four hundred ninety-six thousand, six hundred eighty-eight".